help me in math?

Question

Augustus De Morgan, an English mathematician who lived in the 19th century, once said, "I was x years old in the year x2". He was born in 1806. A different person, born in the 20th century, will be x years old in the year x2. In what year was the person born?

Answer 1

Do you mean x^2 - x squared - x*x ?

If so x^2 = x + 6

x =3

same for 1906

Answer 2

For DeMorgan x_2 - 1806 = x would give his age, so x_2 - 1906 = x would give the correct age of the second person. Therefore, he was born in 1906.